Eh, I don't think this is a good characterization of exception handling. It's certainly an accurate portrayal of exception handling in some languages---like Python---but in a staticly typed language like Java, I believe exceptions are quite explicit. (i.e., if you don't handle an exception, or explicitly state that you are ignoring it, the compiler will complain.) Although it's been a while since I've used Java, and if this is no longer true, I'm sure I could find a language in which it is true.
Personally, I would be OK with that kind of exception handling. I also enjoy Go's error handling. I think Python's exception handling is abhorrent and it constantly bites me in the ass.